Question:

A signal is processed by a causal filter with transfer function \( G(s) \). For a distortion-free output signal waveform, \( G(s) \) must

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Linear phase filters preserve the shape of the signal waveform by ensuring all frequency components are delayed equally.
Updated On: May 5, 2025
  • Provide zero phase shift for all frequencies
  • Provide constant phase shift for all frequencies
  • Provide linear phase shift that is proportional to frequency
  • Provide a phase shift that is inversely proportional to frequency
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The Correct Option is C

Solution and Explanation

For a system to process a distortion-free signal, the phase shift introduced by the filter must be linear and proportional to frequency. This ensures that all frequency components of the signal are delayed by the same amount and do not distort the shape of the waveform. Therefore, the correct answer is option (3).
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